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Finding the Fourth Proportional to 7,159.48, 9,879 and 4,093.11

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Solution

The fourth proportional to 7,159.48, 9,879 and 4,093.11 is: 5,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.48 : 9,879 = 4,093.11 : x
  2. Step 2: Convert to fraction form
    7,159.48/9,879 = 4,093.11/x
  3. Step 3: Cross multiply
    7,159.48x = 9,879 × 4,093.11
  4. Step 4: Simplify right side
    7,159.48x = 40,435,833.69
  5. Step 5: Solve for x
    x = 40,435,833.69/7,159.48
  6. Step 6: Final answer
    x = 5,647.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.